Finite Group Databasebeta

← Group #11771946

Character table — Group #11771946

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444444444448888888824242424242424242424242424242424242424242424242436367272727272
order1222222233666666666666666666666644444444121212121212121212121212121212124448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111-1-11111111111-1-111-1-111-1-1-1-1-1-111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-11ii−i−i
χ6111111-1-11111111111-1-111-1-111-1-1-1-1-1-111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-1-11−i−iii
χ7111111-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-1-11−i−iii
χ8111111-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-1-11ii−i−i
χ922222222222222222222222222222222000000000000000000000000-2-2-20000
χ10222222-2-22222222222-2-222-2-222-2-2-2-2-2-200000000000000000000000022-20000
χ1122-2-22-22-2222222-2-2-2-222-2-2-2-22-2222-2-2-20000000000000000000000000002−22−2
χ1222-2-22-22-2222222-2-2-2-222-2-2-2-22-2222-2-2-2000000000000000000000000000−22−22
χ1322-2-22-2-22222222-2-2-2-2-2-2-2-2222-2-2-2-2222000000000000000000000000000−i2i2i2−i2
χ1422-2-22-2-22222222-2-2-2-2-2-2-2-2222-2-2-2-2222000000000000000000000000000i2−i2−i2i2
χ1522-2-2-22002222-2-22-2-2-2002-200-2200000000001+i−1−i1−i−1+i000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i2i−2i00000
χ1622-2-2-22002222-2-22-2-2-2002-200-2200000000001−i−1+i1+i−1−i000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2i2i00000
χ1722-2-2-22002222-2-22-2-2-2002-200-220000000000−1+i1−i−1−i1+i00000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2i2i00000
χ1822-2-2-22002222-2-22-2-2-2002-200-220000000000−1−i1+i−1+i1−i00000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i2i−2i00000
χ19444444441-21-21111-2-2-2-211-2-2-2-211-211-222220000-1-1-1-1-1-1-1-1000000000000000
χ20444444441-21-21111-2-2-2-211-2-2-2-211-211-2-2-2-2-2000011111111000000000000000
χ2144444444-21-21-2-2-2-21111-2-21111-2-21-2-210000222200000000-1-1-1-1-1-1-1-10000000
χ2244444444-21-21-2-2-2-21111-2-21111-2-21-2-210000-2-2-2-200000000111111110000000
χ23444444-4-41-21-21111-2-2221122-2-2-1-12-1-1222-2-20000-1-1-1-11111000000000000000
χ24444444-4-41-21-21111-2-2221122-2-2-1-12-1-12-2-22200001111-1-1-1-1000000000000000
χ25444444-4-4-21-21-2-2-2-211-1-1-2-2-1-11122-122-100002i2i−2i−2i00000000−i−i−i−iiiii0000000
χ26444444-4-4-21-21-2-2-2-211-1-1-2-2-1-11122-122-10000−2i−2i2i2i00000000iiii−i−i−i−i0000000
χ274444-4-4004444-4-4-444400-4400-4-40000000000000000000000000000000000000
χ284444-4-400-21-21222-211332-233-1-100-300-300000000000000003−33−33−33−30000000
χ294444-4-400-21-21222-211332-233-1-100-300-30000000000000000−33−33−33−330000000
χ304444-4-400-21-21222-211-3-32-2-3-3-1-10030030000000000000000−i3i3−i3i3i3−i3i3−i30000000
χ314444-4-400-21-21222-211-3-32-2-3-3-1-10030030000000000000000i3−i3i3−i3−i3i3−i3i30000000
χ3244-4-44-44-41-21-211-1-122-2-2-1-122-2211-2-1-120000000033−3−333−3−3000000000000000
χ3344-4-44-44-41-21-211-1-122-2-2-1-122-2211-2-1-1200000000−3−333−3−333000000000000000
χ3444-4-44-44-4-21-21-2-222-1-11122-1-11-1-2-2122-100000000000000003−3−333−3−330000000
χ3544-4-44-44-4-21-21-2-222-1-11122-1-11-1-2-2122-10000000000000000−333−3−333−30000000
χ3644-4-44-4-441-21-211-1-12222-1-1-2-2-22-1-1211-20000000033−3−3−3−333000000000000000
χ3744-4-44-4-441-21-211-1-12222-1-1-2-2-22-1-1211-200000000−3−33333−3−3000000000000000
χ3844-4-44-4-44-21-21-2-222-1-1-1-122111-122-1-2-210000000000000000−i3i3i3−i3i3−i3−i3i30000000
χ3944-4-44-4-44-21-21-2-222-1-1-1-122111-122-1-2-210000000000000000i3−i3−i3i3−i3i3i3−i30000000
χ4044-4-4-4400-21-2122-22-1-133-22-3-3-1100-300300002-22-200000000-1-111-1-1110000000
χ4144-4-4-4400-21-2122-22-1-133-22-3-3-1100-30030000-22-220000000011-1-111-1-10000000
χ4244-4-4-4400-21-2122-22-1-1-3-3-2233-1100300-300002i−2i−2i2i00000000−i−iiiii−i−i0000000
χ4344-4-4-4400-21-2122-22-1-1-3-3-2233-1100300-30000−2i2i2i−2i00000000ii−i−i−i−iii0000000
χ444-44-400001-2-123-3-312-2−2i32i33-1−2i32i300−i3i30−i3i302i−2i000000i−ii−i3−33−3000000000000000
χ454-44-400001-2-123-3-312-2−2i32i33-1−2i32i300−i3i30−i3i30−2i2i000000−ii−ii−33−33000000000000000
χ464-44-400001-2-123-3-312-22i3−2i33-12i3−2i300i3−i30i3−i302i−2i000000i−ii−i−33−33000000000000000
χ474-44-400001-2-123-3-312-22i3−2i33-12i3−2i300i3−i30i3−i30−2i2i000000−ii−ii3−33−3000000000000000
χ484-44-4000044-4-40004-44000-400000000002i−2i000000−2i2i−2i2i0000000000000000000
χ494-44-4000044-4-40004-44000-40000000000−2i2i0000002i−2i2i−2i0000000000000000000
χ504-4-4400001-2-123-33-1-22−2i32i3-312i3−2i300−i3i30i3−i30002-20000−i3i3i3−i31-1-11000000000000000
χ514-4-4400001-2-123-33-1-22−2i32i3-312i3−2i300−i3i30i3−i3000-220000i3−i3−i3i3-111-1000000000000000
χ524-4-4400001-2-123-33-1-222i3−2i3-31−2i32i300i3−i30−i3i30002-20000i3−i3−i3i31-1-11000000000000000
χ534-4-4400001-2-123-33-1-222i3−2i3-31−2i32i300i3−i30−i3i3000-220000−i3i3i3−i3-111-1000000000000000
χ544-4-44000044-4-4000-44-400040000000000002-200000000-222-2000000000000000
χ554-4-44000044-4-4000-44-40004000000000000-22000000002-2-22000000000000000
χ568888-8-8002-42-4-2-2-22-4-400-2200440000000000000000000000000000000000000
χ5788-8-8-88002-42-4-2-22-244002-2004-40000000000000000000000000000000000000
χ588-88-800002-4-24-66624-400-6-200000000000000000000000000000000000000000
χ598-88-80000-424-2000-4-22−2i32i304−2i32i3002i3−2i302i3−2i300000000000000000000000000000000
χ608-88-80000-424-2000-4-222i3−2i3042i3−2i300−2i32i30−2i32i300000000000000000000000000000000
χ618-8-8800002-4-24-66-6-2-44006200000000000000000000000000000000000000000
χ628-8-880000-424-200042-2−2i32i30-42i3−2i3002i3−2i30−2i32i300000000000000000000000000000000
χ638-8-880000-424-200042-22i3−2i30-4−2i32i300−2i32i302i3−2i300000000000000000000000000000000

Here i is the imaginary unit (i² = −1).